How many nits are required to represent the decimal number 293 in the following

Question

How many nits are required to represent the decimal number 293 in the following systems?

-derive an expression for the number of bits required to represent a decimal number,d, in BCD. To do this, recall that with m decimal digits we can represent a number up to (10^m)-1. derove another expression for the number of bits required to represent d in unsigned binary. To do this recall that with n bits we can represent a number up to (2^n)-1.[you may use the ceiling function which rounds up to the nearest integer...ceiling(5.01)=6]. will representing a number in BCD ever require fewer bits than unsigned binary?

Explanation / Answer

given nmber 293:

0010 1001 0011

while converting decimla to BCD you have to convert each decimal to bianry:

2 in binary 0010 because = 0*2^3+0*2^2+1*2^1+0*2^0 = 2

9 in binary 1001 because = 1*2^3+0*2^2+0*2^1+1*2^0 = 9

3 in binary 0011 because = 0*2^3+0*2^2+1*2^1+1*2^0 = 3

thusans

Related Questions

Navigate

• Browse (All)
• Browse H
• Subjects

---

---

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