Using 10 bits to represent the mantissa (sing/magnitude) and 6 bits the exponent

Question

Using 10 bits to represent the mantissa (sing/magnitude) and 6 bits the exponent (also sign/magnitude), show the internal representation of the following two value. +0.25 -32 1/6 = -100000.0001 Explain exactly what happens when you perform addition on the following two sign/magnitude integer values 00111 (+7) 01110 (+14) The name of the circuit construction algorithm in this section is _______________. How many binary digits would it take to represent the following phrase, in ASCII code? In 16-bit UNICODE? (Do not include the "" marks) To build a compare-for-equality circuit that takes two 8-bit binary numbers as circuit would need to include how many one-bit CE circuits? 1 4 8

Explanation / Answer

a.0.25

Binary:     Status: normal

Bit 31

Sign Bit

0

0: +

1: -

Bits 30 - 23

Exponent Field

01111101

Decimal value of exponent field and exponent

125

- 127 =

-2

Bits 22 - 0

Significand

1 .00000000000000000000000

Decimal value of the significand

1.0000000

Hexadecimal:

3E800000

   Decimal:

2.5000000e-1

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