Workshop: EEG and EEG

Содержание и основные понятия

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Alterna · Chapter 14 · page 14.4
Workshop: EEG and EEG
Reviews of generic explanations, then a filter trainer by type of exam.
Start by looking at the examples, understand the logic, then go to the gym: decide one by one, check it out, read it.
GEF
OGE No.10
EGE No. 14
01
Review of examples by the OGE
Model step-by-step assignments
📝
OGE No. 10 — Example 1
Translate 110102 into the decimal system.
Step 1: Record the two degrees:
2⁴ 2³ 2² 2¹ 2⁰
= 16 8 4 2 1
Step 2: Multiply each digit by its weight:
1
·16 +
1
·8 +
0
·4 +
1
·2 +
0
·1
Step 3: Save:
16 + 8 + 0 + 2 + 0 =
26₁₀
Response:
26
📝
OGE No. 10 — Example 2
Move 4510 to the binary system.
The method of dividing with the remainder:
45 °C 2 = 22, balance
1
22 °C 2 = 11, balance
0
11 °C 2 = 5, balance
1
5 °C 2 = 2, balance
1
2 p. 2 = 1, balance
0
1 °C 2 = 0, balance
1
Read the residuals from the bottom up:
101101₂
Response:
101101
02
Review of examples of the EGE
More complex tasks — translation through an intermediate HS, arithmetic
📝
EGE No. 14 — Example 1
Translate 1A2F16 into an eight-dimensional system.
Step 1: Each hex digit ~ 4 bits:
1 = 0001, A = 1010, 2 = 0010, F = 1111
Total:
0001 1010 0010 1111₂
Step 2: Group 3 bits to the right:
000
110
100
010
111
Step 3: Each group ~ number 0-7:
0 6 4 2 7 =
6427₈
Response:
6427
📝
EGE No. 14 — Example 2
Compute 1,0112 x 112.
Step 1: Multiply into a binary:
1011 × 11:
1011 × 1 = 1011
1011 x 1 = 1011 (shifted)
Amount:
100001₂
Step 2: Translate to 10:00:
1·32 + 0·16 + 0·8 + 0·4 + 0·2 + 1·1 =
33₁₀
Response:
33
03
Trainer
Make a decision on one task - check and read the review.
🎯
Coach mode