Question

1. (10 points) Answer the following question. #1. Perform the following base conversions using subtraction or division-remainder: a) 13710 b) 248,0 = c) 38710 = d) 63310= #2. Perform the following base conversions. a) 20012, = b) 4103, = c) 3236, = d) 1378, = #3. Convert the following decimal fractions to binary with a maximum of six places to the right of the binary point: a) 25.84375 b) 57.55 #4. Convert the hexadecimal number DECAF 16 to binary.

Answer 1

137ac 137/3-45-2 45/3=15-0 15/3-5-0 5/3-1-2 137a=120023

b)

24810 248/5-49-3 49/5-9-4 9/5-1-4 2481a=14433

c)

387io 387/7=55-2 个 557-7-6 7/7=1-0 387ac=10627

d)

63310 633/9=70-3 70/9-7-7 633u=7739

---

2)

a)

20012₃

=2 x 3⁴+ 0 x 3³ + 0 x 3² + 1 x 3¹ + 2 x 3⁰

=2 x 81 + 0 + 0+ 1 x 3 + 2 x 1

=162+3+2

=167

20012₃=167₁₀

b)

4103₅

=4 x 5³ + 1 x 5² + 0 x 5¹ + 3 x 5⁰

=4 x 125 + 1 x 25 + 0 + 3 x 1

=500+25+3

=528

4103₅=528₁₀

c)

3236₇

=3 x 7³ + 2 x 7² + 3 x 7¹ + 6 x 7⁰

=3 x 343 + 2 x 49 + 3 x 7 + 6 x 1

=1029 + 98 + 21 + 6

=1154

3236₇=1154₁₀

d)

1378₉

=1 x 9³ + 3 x 9² + 7 x 9¹ + 8 x 9⁰

=1 x 729 + 3 x 81 + 7 x 9 + 8 x 1

=729 + 243 + 63 + 8

=1043

1378₉=1043₁₀

--

Solved completely first 2 question

due to time constraints, not able to solve remaining

please post remaining separately, love to answer

all the best

please upvote