Question

Show the negative and positive number for decimal number 86 in base-6 using the signed-magnitude and signed-radix-complement number systems, given 5 positions for integer part with no fraction part.

1. Positive number in signed-magnitude base-6:
2. Negative number in signed-magnitude base-6:
3. Positive number in signed-radix-complement base-6:
4. Negative number in signed-radix-complement base-6:

Answer 1

Given : decimal number = 86

Positive number in signed-magnitude base-6:

86 = 222

[divide 86 by 6 and note the remainder, then again divide the quotient with 6 and note the remainder ..and so on.]

Negative number in signed-magnitude base-6:

-86 = 334

[86 = 222 [compliment the number and add 1 to find the negative signed output]

= 555-222 +1 = 334]

Positive number in signed-radix-complement base-6:

86 = 5334

Negative number in signed-radix-complement base-6:

-86 = 222

[-86 = 334 [ first convert the decimal into signed base-6]

[Now,find the signed radix complument of base-6]

334 = 222.]