I was just asking for help in explaining how each of the questions posted are th

Question

I was just asking for help in explaining how each of the questions posted are the answers given....

The questions are...

1b, and c
5e, 5f
7a, 7b, 7c
8a, 8b, 8f, 8g
9a, 9b, 9e, 9f
10a, 10b, 10c
11c, 11g
13a, 13b
14a, 14b (do not need to go beyond 5 decimal places) 15b, 15c, 15e, 15f

17b, 17c
22c, 22d, 22g, 22h 37a, 37f
38d, 38e
39e, 39f
43f, 43g
44a, 44f
45b, 45d

And the answers for each are...

1b. 6 x 100
1c. 6 x 100,000
5e. 1001 = 9

5f. 1100 = 12 7a. 51.75
7b. = 42.25 7c. 65.875 8a. 3

8b. 7
8f. 127
8g. 255
9a. 5 bits
9b. 6 bits
9e. 7 bits
9f. 7 bits
10a. 000, 001, 010, 011, ... 111 (8 values)
10b. 1000, 1001, 1010, ... 1111 (8 values) 10c.10000, 10001, 10010, ...11111 (16 values) 11c. 11000
11g. 1111101
13a. 1111
13b. 10101
14a. 0.11111
14b. 0.01011
15b. 100
15c. 1000
15e. 1110
15f. 11000

17b. 1000
17c. 100011
22c. 0111
22d. 0011
22g. 01010000
22h. 11000011
37a. 0011 1000
37f. 1111 1011 0001 0111 38d. A6

38e. 3F0
39e. 243
39f. 235
43f. 367
43g. 115
44a. 17
44f. 216
45b. 101 111 45d. 011 010 001

The binary number loi 547124 l (e) 261 452 hexadecimal as l (a) 5471230, (b) IoIIII can be written in Is, The binary number )00 (e) 8D46 (a) Al 467in (b) HC40l 16 16, The binary number for P7A916 is (b) 010100 (d) 010100 (a) J0111 I0101001 (e) III III 1010110001 010011110011 17, The BCD number for decimal 473 is (c) (d) 00 01000 (a) 111011010 01010000 IN, Refer to Table 2-7, The command STOP in ASCII is 100100 Ca) 010000 (b) 1010011101010010011101 01000 (d) (e) 19. The code that has an even-parity error is (d) 110 (a) 010011 (b) 000 (e) 1001000 20. In the cyclic redundancy check, the absence of errors is indicated by (a) Remainder generator code (b) Remainder 0 (c) Remainder (d) Quotient 0 PROBLEMS Answers to odd numbered problems are at the end of the book. Section 2-1 Decimal Numbers 1. What is the weight of the digit 6 in each of the following decimal numbers? (a) 1386 (b) 54,692 (c) 671,920 2. Express each of the following decimal numbers as a power of ten: (b) 100 (c) 10,000 d) 1,000,000 (a) 10 3. Give the value of each digitin the following decimal numbers: (a) 471 (b) 9356 (c) 125,000 4. How high can you count with four decimal digits? Section 2-2 Binary Numbers 5. Convert the following binary numbers to decimal: (b) 100 (c) 11 (d) 1000 g) 10 (e) 1001 6. Convert the following binary numbers to decimal: (a) 1110 (b) 1010 (c) 11100 (d) 10000 (e) 1010 (f 11101 (g) 10111 (h) 11111

Explanation / Answer

Dear Student,

This is binary, decimal and hexadecimal arithmetic problems.

For any number system you should count the place of number from right side,

Eg. for a number (abcde)10 place of d is 2nd form right. weight of d = d * (10)(2-1) (10 is base of number system)

for a binary number (abcde)2 place of b is 4nd form right. weight of b = b * (2)(4-1)   (2 is base of number system)

for converting form binary system to decimal system add the all numbers after multiplying with weight.

(1001)2 = 1* 23 + 0* 22+0*21+1*20   = 8+0+0+1 =9

(101010.01)2 = 1* 25 + 0* 24+1* 23 + 0* 22+1*21+0*20+0* 2-1 + 1* 2-2= 32+0+8+0+2+0+0+0.25 = 42.25

for converting form decimal system to binary system devide by base number 2.

for Converting (125)10 we need to divide repeatedly by 2, keeping track of the remainders. now write the reminders in reverce and this is the binary system

125/2 =62 and reminder = 1

62/2 = 31 and reminder = 0

31/2 =15 and reminder = 1

15/2 = 7 and reminder = 1

7/2 = 3 and reminder = 1

3/2 = 1 and reminder = 1

1/2 = 0 and reminder = 1

so (125) 10 = ( 1111101 )2

hope your qureiy is solved.

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