Please show all your work! and thanks in advance! Q1 Convert the following hexad

Question

Please show all your work! and thanks in advance!

Q1 Convert the following hexadecimal numbers to binary a. OxAB b. OxFF c. Ox123 d. Ox05 Q2 Convert the decimal number 95 to a. binary b. hexadecimal c. base three d. base five Q3 Determine the decimal number ranges that can be represented in binary, decimal, and hexadecimal using the following number of digits. For example, 2 digits can represent decimal number range 0 through 3 in binary (00 to 11), 0 through 99 in decimal (00 to 99), and 0 through 255 in hexadecimal (00 through FF) a. 1 b. 4 C. n

Explanation / Answer

2)

a) 95 to binary

Answer:

( 95 )10 = ( 1011111 )2

Explanation

Step 1:

Write down the decimal number and continually divide by 2 to give a result and a remainder. The remainder is either a 1 or a 0.

In this example we have:

b) 95 to hexadecimal

Answer:

( 95 )10 = ( 5F )16

Explanation

Step 1:

Continually divide decimal number by 16 to give a result and a remainder. Write down the remainder (in hexadecimal).

In this example we have:

c) 95 to base 3

95 to base 3 = (10112) 3

d) 95 to base 5 = (340)5

95 / 2 result 47 remainder 1 47 / 2 result 23 remainder 1 23 / 2 result 11 remainder 1 11 / 2 result 5 remainder 1 5 / 2 result 2 remainder 1 2 / 2 result 1 remainder 0 1 / 2 result 0 remainder 1

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.