Answered Essay: Write the number 171 in unsigned (positive) 8-bit base 2 integer format.

– Write the number 171 in unsigned (positive) 8-bit base 2 integer format.

– Write the number -112 in signed (positive and negative) 8-bit base 2 integer format.

Expert Answer

 

here is the answer…

YOu know to convert the number from decimal to binary we divide the number by 2..below i have perfromed the operation.

OPERATION Remainder
171/2 = 85 1
85/2 = 42 1
42/2 = 21 0
21/2 = 10 1
10/2 = 5 0
5/2 = 2 1
2/2 = 1 0

Taking LSB to MSB Bits

171 in 8 bit base 2 integer format = 10101011

——————————————————————————————————————————————

number is -112

taking the positve value = 112

112 in binary = 01110000      (This is the positive 8 bit base integer format.)

step: 1 invert the digits

after inverting binary value = 10001111

Step:2 add 1 to binary value

           10001111

           +           1

          —————–

            10010000

          —————–

Hence

-112 in signed 8 bit base 2 integer format = 10010000

112 in positive 8-bit base 2 integer format = 01110000

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